Least Common Multiple of 882 and 884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 882 and 884 the smallest integer that is 389844 that is divisible by both numbers.

Least Common Multiple (LCM) of 882 and 884 is 389844.

LCM(882,884) = 389844

LCM of 882 and 884

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 882 and 884

LCM of 882 and 884 is 389844

Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 884. First we will calculate the prime factors of 882 and 884.

Prime Factorization of 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 882 and 884.

LCM(882,884) = 22×32×72×131×171
LCM(882,884) = 389844

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Least Common Multiple of 882 and 884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 882 and 884, than apply into the LCM equation.

GCF(882,884) = 2
LCM(882,884) = ( 882 × 884) / 2
LCM(882,884) = 779688 / 2
LCM(882,884) = 389844

Properties of LCM 882 and 884

(i) The LCM of 884 and 882 is associative

LCM of 882 and 884 = LCM of 884 and 882

Related Least Common Multiples of 882

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 882 and 884

1. What is the LCM of 882 and 884?

Answer: LCM of 882 and 884 is 389844.

2. What are the Factors of 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

3. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

4. How to Find the LCM of 882 and 884?

Answer:

Least Common Multiple of 882 and 884 = 389844

Step 1: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 389844 = 2 x 2 x 3 x 3 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 882 and 884 is 389844.